$(A)_ {\Delta}$ - double Sequence Spaces of fuzzy numbers via Orlicz Function

نویسندگان

1 Istanbul Ticaret University, Department of Mathematics, Uskudar-Istanbul, Turkey

doi
10.22111/ijfs.2011.278
چکیده

The aim of this paper is to introduce and study a new concept ofstrong double $(A)_ {\Delta}$-convergent sequence offuzzy numbers with respect to an Orlicz function and also someproperties of the resulting sequence spaces of fuzzy   numbers areexamined. In addition, we define the double$(A,\Delta)$-statistical convergence of fuzzy  numbers andestablish some connections between the spaces of strong double$(A)_ {\Delta}$-convergent sequence and  double $(A,\Delta)$-statistical convergent sequence.